31. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?

32. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?

33. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw ?

34. Evaluate permutation equation 59P3 ?

35. How many words can be formed from the letters of the word AFTER, so that the vowels never come together ?

36. A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours ?

37. In how many different ways the letters of the word "MATHEMATICS" can be arranged so that the vowels always come together ?

38. Two cards are drawn together from a pack of 52 cards. The probability that one is a club and one is a diamond ?

39. When two dice are tossed, What is the probability that the total score is a prime number ?

40. A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow ?

41. A letter is chosen at random from the word "ASSASSINATION". What is the probability that it is a consonant?

42. Two dice are rolled together. What is the probability of getting two numbers whose product is even ?

43. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?

44. Three unbiased coins are tossed. What is the probability of getting at most two heads ?

45. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings ?

46. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?